1001940768 has 72 divisors (see below), whose sum is σ = 2888360748. Its totient is φ = 329398272.

The previous prime is 1001940761. The next prime is 1001940809. The reversal of 1001940768 is 8670491001.

1001940768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 974188944 + 27751824 = 31212^2 + 5268^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1001940761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2805 + ... + 44852.

Almost surely, 2^1001940768 is an apocalyptic number.

1001940768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001940768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444180374).

1001940768 is an abundant number, since it is smaller than the sum of its proper divisors (1886419980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001940768 is a wasteful number, since it uses less digits than its factorization.

1001940768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47746 (or 47735 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1001940768 is about 31653.4479638475. The cubic root of 1001940768 is about 1000.6465046084.

The spelling of 1001940768 in words is "one billion, one million, nine hundred forty thousand, seven hundred sixty-eight".